Global Asymptotic Stability of a Class of Cellular Neural Networks with Proportional Delays
Zhou Li-qu · Gongcheng shuxue xuebao · 2013
By applying M-matrix theory and constructing suitable Lyapunov functional, we frstly discuss a class of cellular neural networks with proportional delays, and obtain a delaydependent sufcient condition for ensuring existence and uniqueness and global asymptotic stability of the system. Secondly, the system is transfromed into the cellular neural networks with constant delay and variable coefcients. A delay-independent sufcient condition is derived for ensuring existence and uniqueness and global asymptotic stability of the system by using M-matrix theory and constructing suitable Lyapunov functional again. Finally, two numerical examples are presented to verify the correctness of the numerical results and less conservative than the existing results, and the application scope of delay-dependent sufcient and delayindependent sufcient conditions according to the proportional delay factor are analyzed.